{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 250,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/lib/python3.7/site-packages/qiskit/providers/ibmq/ibmqfactory.py:192: UserWarning: Timestamps in IBMQ backend properties, jobs, and job results are all now in local time instead of UTC.\n",
      "  warnings.warn('Timestamps in IBMQ backend properties, jobs, and job results '\n",
      "ibmqfactory.load_account:WARNING:2020-09-11 01:00:16,595: Credentials are already in use. The existing account in the session will be replaced.\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "# Importing standard Qiskit libraries and configuring account\n",
    "from qiskit import QuantumCircuit, execute, Aer, IBMQ\n",
    "from qiskit.compiler import transpile, assemble\n",
    "from qiskit.tools.jupyter import *\n",
    "from qiskit.visualization import *\n",
    "# Loading your IBM Q account(s)\n",
    "provider = IBMQ.load_account()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 5 - Understanding the Qubit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 252,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0b101\n"
     ]
    }
   ],
   "source": [
    "#Adding two binary numbers\n",
    "two = '010'\n",
    "three = '011'\n",
    "answer = bin(int(two,2) + int(three,2))\n",
    "print(answer)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 253,
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit.visualization import plot_state_qsphere\n",
    "from qiskit.visualization import plot_bloch_multivector\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 255,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Create a simple circuit with just one qubit\n",
    "qc = QuantumCircuit(1)\n",
    "#Get the state vector simulator backend\n",
    "statevector_simulator = Aer.get_backend('statevector_simulator')\n",
    "#Run the circuit and get the state vector of the qubit\n",
    "result = execute(qc, statevector_simulator).result()\n",
    "statevector_results = result.get_statevector(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 256,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "execution_count": 256,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_bloch_multivector(statevector_results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 257,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 257,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_qsphere(statevector_results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 258,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 258,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(1)\n",
    "qc.x(0)\n",
    "#Execute the circuit\n",
    "result = execute(qc, statevector_simulator).result()\n",
    "statevector_results = result.get_statevector(qc)\n",
    "plot_state_qsphere(statevector_results)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 259,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 288x288 with 1 Axes>"
      ]
     },
     "execution_count": 259,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(1)\n",
    "qc.h(0)\n",
    "#Execute the circuit\n",
    "result = execute(qc, statevector_simulator).result()\n",
    "statevector_results = result.get_statevector(qc)\n",
    "plot_bloch_multivector(statevector_results)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 260,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 260,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_qsphere(statevector_results)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 261,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td>Qiskit</td><td>0.20.1</td></tr><tr><td>Terra</td><td>0.15.2</td></tr><tr><td>Aer</td><td>0.6.1</td></tr><tr><td>Ignis</td><td>0.4.0</td></tr><tr><td>Aqua</td><td>0.7.5</td></tr><tr><td>IBM Q Provider</td><td>0.8.0</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.7.8 | packaged by conda-forge | (default, Jul 31 2020, 02:25:08) \n",
       "[GCC 7.5.0]</td></tr><tr><td>OS</td><td>Linux</td></tr><tr><td>CPUs</td><td>8</td></tr><tr><td>Memory (Gb)</td><td>31.40900421142578</td></tr><tr><td colspan='2'>Fri Sep 11 01:02:34 2020 UTC</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
